-3/5 - 7/5 - -2/5 equals

Statcrunchthe number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with a mean of

USPshnik [31]

A) First, we convert from percentiles to z-score using a z-table or graphing calculator. The z-table tells us that a z-score of about -0.64 is at the 26th percentile. Then, we convert from z-score to chips using the formula z = (x - mean)/standard deviation. -0.64 = (x - 1261)/117, so x = 1186.12, or about 1186 chips.
b) To find the percentage distance from the mean to one side of the distribution, we divide 97 by 2 to get 48.5. This means that 48.5% above and below the mean is the same as the middle 97%. To find the number of chocolate chips in the bag, we have to find number of chocolate chips in the 98.5th percentile (98.5 is found by adding 48.5 to 50) and the number of chocolate chips in the 1.5th percentile (1.5 is found by subtracting 48.5 from 50). We use a z-table to see that a z-score of about -2.17 is at the 1.5th percentile and a z-score of about 2.17 is at the 98.5th percentile. We convert -2.17 to chips using -2.17 = (x - 1261)/117, and x = 1007.11, or 1007 chips. We convert 2.17 to chips using 2.17 = (x - 1261)/117, and x = 1514.89, or 1515 chips. So a bag containing 1007 to 1515 chips makes the middle 97% of bags.
c) This question is similar to the previous question because it is basically asking you for the middle 50% of bags. The main difference is that we have to subtract the two values in this question to get one number. We divide 50 by 2 to find that 25% of the data falls above and below the mean. So, we need to find the value at the 25th percentile (50-25) and the 75th percentile (50+25). The z-table tells us that a z-score of about -0.67 is at the 25th percentile, and a z-score of about 0.67 is at the 75th percentile. Using the z-score formula, we find that a z-score of -0.67 is equivalent to 1,182.61 and a z-score of 0.67 is equivalent to 1339.39. The interquartile range = 1339.39-1182.61 = 156.78.

4 0

3 years ago

Write a decimal that the model represents

anastassius [24]

Answer:

number = 0.011

Step-by-step explanation:

Decimal Representation

The model is shown in the figure. It has a form of a cube where each face is divided into 10 equal squares, forming a 10x10x10=1,000 smaller cubes piece.

Out of that 1,000 cubes, only 11 are shaded. This leaves us to think the decimal represented by the model is the division between the shaded cubes by the total cubes, thus:

$number= \frac{11}{1,000}$

Dividing:

number = 0.011

4 0

3 years ago

How do you find the interest of a car

lisabon 2012 [21]

Answer:

hese loans are called amortizing loans - which means that the mathematical whizzes at your bank have worked them out so that you pay a set amount each month and at the end of your loan term, you’ll have paid off both interest and principal.

You can use an interest calculator to work out how much interest you’re paying all up, or, if you’d rather do it by hand, here’s how:

1. Divide your interest rate by the number of payments you’ll make in the year (interest rates are expressed annually). So, for example, if you’re making monthly payments, divide by 12.

2. Multiply it by the balance of your loan, which for the first payment, will be your whole principal amount.

This gives you the amount of interest you pay the first month.

So for example, on a personal loan of $30,000 over a period of 6 years at 8.40% p.a. and making monthly repayments:

Because you’ve now begun to pay off your principal, to work out the interest you pay in the following months, you need to first calculate your new balance. So:

1. Minus the interest you just calculated from the amount you repaid. This gives you the amount that you have paid off the loan principal.

2. Take this amount away from the original principal to find the new balance of your loan.

To work out ongoing interest payments, the easiest way is to break it up into a table. So using the above example, your calculations might look like this:

Month Starting balance Repayment Interest paid Principal paid New balance

1 $30,000 $532 $210 $322 $29,678

2 $29,678 $532 $207.75 $324.25 $29,353.75

3 $29,353.75 $532 $205.48 $326.52 $29,027.23

4 $29,027.23 $532 $203.19 $328.81 $28,698.42

5 $28,698.42 $532 $200.89 $331.11 $28,367.31

8 0

4 years ago

I need help ASAP! It's urgent.. PLISSSSS

natali 33 [55]

Answer:

a) 6 mins

b) 70km/h

c) t= 45

Step-by-step explanation:

a) The bus stops from t=10 to t=16 minutes since the distance the busvtravelled remained constant at 15km

Duration

= 16 -10

= 6 minutes

b) Average speed

= total distance ÷ total time

Total time

= 24min

= (24÷60) hr

= 0.4 h

Average speed

= 28 ÷0.4

= 70 km/h

c) Average speed= total distance/ total time

Average speed

= 80km/h

= (80÷60) km/min

= 1⅓ km/min

1⅓= 28 ÷(t -24)

since duration for return journey is from t=24 mins to t mins.

$\frac{4}{3}$ (t -24)= 28

$\frac{4}{3}$ t - 32= 28

$\frac{4}{3}$ t= 32 +28

$\frac{4}{3}$ t= 60

t= $6 0\div \frac{4}{3}$

t= 45

*Here, I assume that this is a displacement- time graph, so the distance shown is the distance of the bus from the starting point because technically if it is a distance-time graph, the distance would still increase as the bus travels the 'return journey'.

Thus, distance is decreasing after t=24 and reaches zero at time= t mins so that is the return journey. (because when the bus returns back to starting point, displacement/ distance from starting point= 0km)

5 0

4 years ago

Find the conjugate of 7 - 2i

Helen [10]

Conjugate of (a - bi) is (a + bi).
Just change the sign on the imaginary part.

7 + 2i

7 0

3 years ago